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Finding the Fourth Proportional to 517,407.23, 714,020.91 and 291,052.73

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Solution

The fourth proportional to 517,407.23, 714,020.91 and 291,052.73 is: 401,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,407.23 : 714,020.91 = 291,052.73 : x
  2. Step 2: Convert to fraction form
    517,407.23/714,020.91 = 291,052.73/x
  3. Step 3: Cross multiply
    517,407.23x = 714,020.91 × 291,052.73
  4. Step 4: Simplify right side
    517,407.23x = 207,817,731,562.48
  5. Step 5: Solve for x
    x = 207,817,731,562.48/517,407.23
  6. Step 6: Final answer
    x = 401,652.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.